{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import cv2\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def max_filtering(N, I_temp):\n",
    "    wall = np.full((I_temp.shape[0]+(N//2)*2, I_temp.shape[1]+(N//2)*2), -1)\n",
    "    wall[(N//2):wall.shape[0]-(N//2), (N//2):wall.shape[1]-(N//2)] = I_temp.copy()\n",
    "    temp = np.full((I_temp.shape[0]+(N//2)*2, I_temp.shape[1]+(N//2)*2), -1)\n",
    "    for y in range(0,wall.shape[0]):\n",
    "        for x in range(0,wall.shape[1]):\n",
    "            if wall[y,x]!=-1:\n",
    "                window = wall[y-(N//2):y+(N//2)+1,x-(N//2):x+(N//2)+1]\n",
    "                num = np.amax(window)\n",
    "                temp[y,x] = num\n",
    "    A = temp[(N//2):wall.shape[0]-(N//2), (N//2):wall.shape[1]-(N//2)].copy()\n",
    "    return A\n",
    "\n",
    "def min_filtering(N, A):\n",
    "    wall_min = np.full((A.shape[0]+(N//2)*2, A.shape[1]+(N//2)*2), 300)\n",
    "    wall_min[(N//2):wall_min.shape[0]-(N//2), (N//2):wall_min.shape[1]-(N//2)] = A.copy()\n",
    "    temp_min = np.full((A.shape[0]+(N//2)*2, A.shape[1]+(N//2)*2), 300)\n",
    "    for y in range(0,wall_min.shape[0]):\n",
    "        for x in range(0,wall_min.shape[1]):\n",
    "            if wall_min[y,x]!=300:\n",
    "                window_min = wall_min[y-(N//2):y+(N//2)+1,x-(N//2):x+(N//2)+1]\n",
    "                num_min = np.amin(window_min)\n",
    "                temp_min[y,x] = num_min\n",
    "    B = temp_min[(N//2):wall_min.shape[0]-(N//2), (N//2):wall_min.shape[1]-(N//2)].copy()\n",
    "    return B\n",
    "\n",
    "def background_subtraction(I, B):\n",
    "    O = I - B\n",
    "    norm_img = cv2.normalize(O, None, 0,255, norm_type=cv2.NORM_MINMAX)\n",
    "    return norm_img\n",
    "\n",
    "def min_max_filtering(M, N, I):\n",
    "    if M == 0:\n",
    "        #max_filtering\n",
    "        A = max_filtering(N, I)\n",
    "        #min_filtering\n",
    "        B = min_filtering(N, A)\n",
    "        #subtraction\n",
    "        normalised_img = background_subtraction(I, B)\n",
    "    elif M == 1:\n",
    "        #min_filtering\n",
    "        A = min_filtering(N, I)\n",
    "        #max_filtering\n",
    "        B = max_filtering(N, A)\n",
    "        #subtraction\n",
    "        normalised_img = background_subtraction(I, B)\n",
    "    return normalised_img"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "P = cv2.imread('Theory.jpg',0)\n",
    "plt.imshow(P,cmap='gray')\n",
    "plt.title(\"original image\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#We can edit the N and M values here for P and C images\n",
    "O_P = min_max_filtering(M = 0, N = 20, I = P)\n",
    "\n",
    "\n",
    "#Display final output\n",
    "plt.imshow(O_P, cmap = 'gray')\n",
    "plt.title(\"Final output\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
